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Finding the Fourth Proportional to 212.77, 319.46 and 209.12

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Solution

The fourth proportional to 212.77, 319.46 and 209.12 is: 313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.77 : 319.46 = 209.12 : x
  2. Step 2: Convert to fraction form
    212.77/319.46 = 209.12/x
  3. Step 3: Cross multiply
    212.77x = 319.46 × 209.12
  4. Step 4: Simplify right side
    212.77x = 66,805.23
  5. Step 5: Solve for x
    x = 66,805.23/212.77
  6. Step 6: Final answer
    x = 313.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.